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882 lines
33 KiB
C++
882 lines
33 KiB
C++
/*
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Copyright 2014 SINTEF ICT, Applied Mathematics.
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef OPM_EQUILIBRATIONHELPERS_HEADER_INCLUDED
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#define OPM_EQUILIBRATIONHELPERS_HEADER_INCLUDED
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#include <opm/core/props/BlackoilPropertiesInterface.hpp>
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#include <opm/core/props/BlackoilPhases.hpp>
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#include <opm/core/utility/linearInterpolation.hpp>
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#include <opm/core/utility/RegionMapping.hpp>
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#include <opm/core/utility/RootFinders.hpp>
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#include <memory>
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/*
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---- synopsis of EquilibrationHelpers.hpp ----
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namespace Opm
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{
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namespace Equil {
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template <class Props>
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class DensityCalculator;
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template <>
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class DensityCalculator< BlackoilPropertiesInterface >;
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namespace Miscibility {
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class RsFunction;
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class NoMixing;
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class RsVD;
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class RsSatAtContact;
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}
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struct EquilRecord;
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template <class DensCalc>
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class EquilReg;
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struct PcEq;
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inline double satFromPc(const BlackoilPropertiesInterface& props,
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const int phase,
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const int cell,
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const double target_pc,
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const bool increasing = false);
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struct PcEqSum
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inline double satFromSumOfPcs(const BlackoilPropertiesInterface& props,
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const int phase1,
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const int phase2,
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const int cell,
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const double target_pc);
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} // namespace Equil
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} // namespace Opm
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---- end of synopsis of EquilibrationHelpers.hpp ----
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*/
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namespace Opm
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{
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/**
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* Types and routines that collectively implement a basic
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* ECLIPSE-style equilibration-based initialisation scheme.
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*
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* This namespace is intentionally nested to avoid name clashes
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* with other parts of OPM.
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*/
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namespace Equil {
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template <class Props>
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class DensityCalculator;
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/**
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* Facility for calculating phase densities based on the
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* BlackoilPropertiesInterface.
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*
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* Implements the crucial <CODE>operator()(p,svol)</CODE>
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* function that is expected by class EquilReg.
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*/
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template <>
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class DensityCalculator< BlackoilPropertiesInterface > {
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public:
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/**
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* Constructor.
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*
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* \param[in] props Implementation of the
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* BlackoilPropertiesInterface.
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*
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* \param[in] c Single cell used as a representative cell
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* in a PVT region.
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*/
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DensityCalculator(const BlackoilPropertiesInterface& props,
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const int c)
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: props_(props)
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, c_(1, c)
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{
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}
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/**
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* Compute phase densities of all phases at phase point
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* given by (pressure, surface volume) tuple.
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*
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* \param[in] p Fluid pressure.
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*
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* \param[in] z Surface volumes of all phases.
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*
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* \return Phase densities at phase point.
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*/
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std::vector<double>
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operator()(const double p,
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const std::vector<double>& z) const
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{
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const int np = props_.numPhases();
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std::vector<double> A(np * np, 0);
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assert (z.size() == std::vector<double>::size_type(np));
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double* dAdp = 0;
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props_.matrix(1, &p, &z[0], &c_[0], &A[0], dAdp);
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std::vector<double> rho(np, 0.0);
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props_.density(1, &A[0], &c_[0], &rho[0]);
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return rho;
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}
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private:
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const BlackoilPropertiesInterface& props_;
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const std::vector<int> c_;
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};
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/**
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* Types and routines relating to phase mixing in
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* equilibration calculations.
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*/
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namespace Miscibility {
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/**
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* Base class for phase mixing functions.
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*/
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class RsFunction
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{
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public:
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/**
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* Function call operator.
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*
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* \param[in] depth Depth at which to calculate RS
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* value.
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*
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* \param[in] press Pressure at which to calculate RS
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* value.
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*
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* \return Dissolved gas-oil ratio (RS) at depth @c
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* depth and pressure @c press.
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*/
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virtual double operator()(const double depth,
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const double press,
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const double sat = 0.0) const = 0;
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};
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/**
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* Type that implements "no phase mixing" policy.
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*/
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class NoMixing : public RsFunction {
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public:
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/**
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* Function call.
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*
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* \param[in] depth Depth at which to calculate RS
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* value.
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*
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* \param[in] press Pressure at which to calculate RS
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* value.
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*
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* \return Dissolved gas-oil ratio (RS) at depth @c
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* depth and pressure @c press. In "no mixing
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* policy", this is identically zero.
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*/
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double
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operator()(const double /* depth */,
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const double /* press */,
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const double /* sat */ = 0.0) const
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{
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return 0.0;
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}
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};
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/**
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* Type that implements "dissolved gas-oil ratio"
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* tabulated as a function of depth policy. Data
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* typically taken from keyword 'RSVD'.
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*/
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class RsVD : public RsFunction {
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public:
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/**
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* Constructor.
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*
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* \param[in] props property object
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* \param[in] cell any cell in the pvt region
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* \param[in] depth Depth nodes.
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* \param[in] rs Dissolved gas-oil ratio at @c depth.
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*/
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RsVD(const BlackoilPropertiesInterface& props,
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const int cell,
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const std::vector<double>& depth,
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const std::vector<double>& rs)
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: props_(props)
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, cell_(cell)
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, depth_(depth)
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, rs_(rs)
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{
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auto pu = props_.phaseUsage();
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std::fill(z_, z_ + BlackoilPhases::MaxNumPhases, 0.0);
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z_[pu.phase_pos[BlackoilPhases::Vapour]] = 1e100;
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z_[pu.phase_pos[BlackoilPhases::Liquid]] = 1.0;
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}
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/**
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* Function call.
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*
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* \param[in] depth Depth at which to calculate RS
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* value.
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*
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* \param[in] press Pressure at which to calculate RS
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* value.
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*
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* \return Dissolved gas-oil ratio (RS) at depth @c
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* depth and pressure @c press.
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*/
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double
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operator()(const double depth,
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const double press,
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const double sat_gas = 0.0) const
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{
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if (sat_gas > 0.0) {
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return satRs(press);
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} else {
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return std::min(satRs(press), linearInterpolation(depth_, rs_, depth));
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}
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}
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private:
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const BlackoilPropertiesInterface& props_;
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const int cell_;
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std::vector<double> depth_; /**< Depth nodes */
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std::vector<double> rs_; /**< Dissolved gas-oil ratio */
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double z_[BlackoilPhases::MaxNumPhases];
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mutable double A_[BlackoilPhases::MaxNumPhases * BlackoilPhases::MaxNumPhases];
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double satRs(const double press) const
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{
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props_.matrix(1, &press, z_, &cell_, A_, 0);
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// Rs/Bo is in the gas row and oil column of A_.
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// 1/Bo is in the oil row and column.
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// Recall also that it is stored in column-major order.
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const int opos = props_.phaseUsage().phase_pos[BlackoilPhases::Liquid];
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const int gpos = props_.phaseUsage().phase_pos[BlackoilPhases::Vapour];
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const int np = props_.numPhases();
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return A_[np*opos + gpos] / A_[np*opos + opos];
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}
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};
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/**
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* Type that implements "vaporized oil-gas ratio"
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* tabulated as a function of depth policy. Data
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* typically taken from keyword 'RVVD'.
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*/
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class RvVD : public RsFunction {
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public:
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/**
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* Constructor.
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*
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* \param[in] props property object
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* \param[in] cell any cell in the pvt region
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* \param[in] depth Depth nodes.
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* \param[in] rv Dissolved gas-oil ratio at @c depth.
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*/
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RvVD(const BlackoilPropertiesInterface& props,
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const int cell,
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const std::vector<double>& depth,
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const std::vector<double>& rv)
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: props_(props)
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, cell_(cell)
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, depth_(depth)
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, rv_(rv)
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{
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auto pu = props_.phaseUsage();
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std::fill(z_, z_ + BlackoilPhases::MaxNumPhases, 0.0);
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z_[pu.phase_pos[BlackoilPhases::Vapour]] = 1.0;
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z_[pu.phase_pos[BlackoilPhases::Liquid]] = 1e100;
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}
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/**
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* Function call.
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*
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* \param[in] depth Depth at which to calculate RV
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* value.
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*
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* \param[in] press Pressure at which to calculate RV
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* value.
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*
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* \return Vaporized oil-gas ratio (RV) at depth @c
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* depth and pressure @c press.
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*/
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double
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operator()(const double depth,
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const double press,
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const double sat_oil = 0.0 ) const
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{
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if (sat_oil > 0.0) {
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return satRv(press);
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} else {
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return std::min(satRv(press), linearInterpolation(depth_, rv_, depth));
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}
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}
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private:
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const BlackoilPropertiesInterface& props_;
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const int cell_;
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std::vector<double> depth_; /**< Depth nodes */
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std::vector<double> rv_; /**< Vaporized oil-gas ratio */
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double z_[BlackoilPhases::MaxNumPhases];
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mutable double A_[BlackoilPhases::MaxNumPhases * BlackoilPhases::MaxNumPhases];
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double satRv(const double press) const
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{
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props_.matrix(1, &press, z_, &cell_, A_, 0);
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// Rv/Bg is in the oil row and gas column of A_.
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// 1/Bg is in the gas row and column.
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// Recall also that it is stored in column-major order.
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const int opos = props_.phaseUsage().phase_pos[BlackoilPhases::Liquid];
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const int gpos = props_.phaseUsage().phase_pos[BlackoilPhases::Vapour];
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const int np = props_.numPhases();
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return A_[np*gpos + opos] / A_[np*gpos + gpos];
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}
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};
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/**
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* Class that implements "dissolved gas-oil ratio" (Rs)
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* as function of depth and pressure as follows:
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*
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* 1. The Rs at the gas-oil contact is equal to the
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* saturated Rs value, Rs_sat_contact.
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*
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* 2. The Rs elsewhere is equal to Rs_sat_contact, but
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* constrained to the saturated value as given by the
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* local pressure.
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*
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* This should yield Rs-values that are constant below the
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* contact, and decreasing above the contact.
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*/
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class RsSatAtContact : public RsFunction {
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public:
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/**
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* Constructor.
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*
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* \param[in] props property object
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* \param[in] cell any cell in the pvt region
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* \param[in] p_contact oil pressure at the contact
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*/
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RsSatAtContact(const BlackoilPropertiesInterface& props, const int cell, const double p_contact)
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: props_(props), cell_(cell)
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{
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auto pu = props_.phaseUsage();
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std::fill(z_, z_ + BlackoilPhases::MaxNumPhases, 0.0);
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z_[pu.phase_pos[BlackoilPhases::Vapour]] = 1e100;
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z_[pu.phase_pos[BlackoilPhases::Liquid]] = 1.0;
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rs_sat_contact_ = satRs(p_contact);
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}
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/**
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* Function call.
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*
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* \param[in] depth Depth at which to calculate RS
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* value.
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*
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* \param[in] press Pressure at which to calculate RS
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* value.
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*
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* \return Dissolved gas-oil ratio (RS) at depth @c
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* depth and pressure @c press.
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*/
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double
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operator()(const double /* depth */,
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const double press,
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const double sat_gas = 0.0) const
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{
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if (sat_gas > 0.0) {
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return satRs(press);
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} else {
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return std::min(satRs(press), rs_sat_contact_);
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}
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}
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private:
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const BlackoilPropertiesInterface& props_;
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const int cell_;
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double z_[BlackoilPhases::MaxNumPhases];
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double rs_sat_contact_;
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mutable double A_[BlackoilPhases::MaxNumPhases * BlackoilPhases::MaxNumPhases];
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double satRs(const double press) const
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{
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props_.matrix(1, &press, z_, &cell_, A_, 0);
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// Rs/Bo is in the gas row and oil column of A_.
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// 1/Bo is in the oil row and column.
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// Recall also that it is stored in column-major order.
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const int opos = props_.phaseUsage().phase_pos[BlackoilPhases::Liquid];
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const int gpos = props_.phaseUsage().phase_pos[BlackoilPhases::Vapour];
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const int np = props_.numPhases();
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return A_[np*opos + gpos] / A_[np*opos + opos];
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}
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};
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/**
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* Class that implements "vaporized oil-gas ratio" (Rv)
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* as function of depth and pressure as follows:
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*
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* 1. The Rv at the gas-oil contact is equal to the
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* saturated Rv value, Rv_sat_contact.
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*
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* 2. The Rv elsewhere is equal to Rv_sat_contact, but
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* constrained to the saturated value as given by the
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* local pressure.
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*
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* This should yield Rv-values that are constant below the
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* contact, and decreasing above the contact.
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*/
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class RvSatAtContact : public RsFunction {
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public:
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/**
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* Constructor.
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*
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* \param[in] props property object
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* \param[in] cell any cell in the pvt region
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* \param[in] p_contact oil pressure at the contact
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*/
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RvSatAtContact(const BlackoilPropertiesInterface& props, const int cell, const double p_contact)
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: props_(props), cell_(cell)
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{
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auto pu = props_.phaseUsage();
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std::fill(z_, z_ + BlackoilPhases::MaxNumPhases, 0.0);
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z_[pu.phase_pos[BlackoilPhases::Vapour]] = 1.0;
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z_[pu.phase_pos[BlackoilPhases::Liquid]] = 1e100;
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rv_sat_contact_ = satRv(p_contact);
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}
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/**
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* Function call.
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*
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* \param[in] depth Depth at which to calculate RV
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* value.
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*
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* \param[in] press Pressure at which to calculate RV
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* value.
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*
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* \return Dissolved oil-gas ratio (RV) at depth @c
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* depth and pressure @c press.
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*/
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double
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operator()(const double /*depth*/,
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const double press,
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const double sat_oil = 0.0) const
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{
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if (sat_oil > 0.0) {
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return satRv(press);
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} else {
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return std::min(satRv(press), rv_sat_contact_);
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}
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}
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private:
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const BlackoilPropertiesInterface& props_;
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const int cell_;
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double z_[BlackoilPhases::MaxNumPhases];
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double rv_sat_contact_;
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mutable double A_[BlackoilPhases::MaxNumPhases * BlackoilPhases::MaxNumPhases];
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double satRv(const double press) const
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{
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props_.matrix(1, &press, z_, &cell_, A_, 0);
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// Rv/Bg is in the oil row and gas column of A_.
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// 1/Bg is in the gas row and column.
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// Recall also that it is stored in column-major order.
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const int opos = props_.phaseUsage().phase_pos[BlackoilPhases::Liquid];
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const int gpos = props_.phaseUsage().phase_pos[BlackoilPhases::Vapour];
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const int np = props_.numPhases();
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return A_[np*gpos + opos] / A_[np*gpos + gpos];
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}
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};
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} // namespace Miscibility
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/**
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* Equilibration record.
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*
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* Layout and contents inspired by first six items of
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* ECLIPSE's 'EQUIL' records. This is the minimum amount of
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* input data needed to define phase pressures in an
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* equilibration region.
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*
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* Data consists of three pairs of depth and pressure values:
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* 1. main
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* - @c depth Main datum depth.
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* - @c press Pressure at datum depth.
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*
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* 2. woc
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* - @c depth Depth of water-oil contact
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* - @c press water-oil capillary pressure at water-oil contact.
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* Capillary pressure defined as "P_oil - P_water".
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*
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* 3. goc
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* - @c depth Depth of gas-oil contact
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* - @c press Gas-oil capillary pressure at gas-oil contact.
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* Capillary pressure defined as "P_gas - P_oil".
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*
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* For the time being, items 7-9 of ECLIPSE's 'EQUIL' records are also
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* stored here, but might (should?) eventually be moved elsewhere.
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*
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|
* - @c live_oil_table_index Indicates type of initialisation for live oil.
|
|
* Positive value points to corresponding Rs vs. depth table.
|
|
* - @c wet_gas_table_index Indicates type of initialisation for wet gas.
|
|
* Positive value points to corresponding Rv vs. depth table.
|
|
* - @c N Defines accuracy of initialisation computations. Currently
|
|
* only @c N=0 is supported.
|
|
*
|
|
*/
|
|
struct EquilRecord {
|
|
struct {
|
|
double depth;
|
|
double press;
|
|
} main, woc, goc;
|
|
int live_oil_table_index;
|
|
int wet_gas_table_index;
|
|
int N;
|
|
};
|
|
|
|
/**
|
|
* Aggregate information base of an equilibration region.
|
|
*
|
|
* Provides inquiry methods for retrieving depths of contacs
|
|
* and pressure values as well as a means of calculating fluid
|
|
* densities, dissolved gas-oil ratio and vapourised oil-gas
|
|
* ratios.
|
|
*
|
|
* \tparam DensCalc Type that provides access to a phase
|
|
* density calculation facility. Must implement an operator()
|
|
* declared as
|
|
* <CODE>
|
|
* std::vector<double>
|
|
* operator()(const double press,
|
|
* const std::vector<double>& svol )
|
|
* </CODE>
|
|
* that calculates the phase densities of all phases in @c
|
|
* svol at fluid pressure @c press.
|
|
*/
|
|
template <class DensCalc>
|
|
class EquilReg {
|
|
public:
|
|
/**
|
|
* Constructor.
|
|
*
|
|
* \param[in] rec Equilibration data of current region.
|
|
* \param[in] density Density calculator of current region.
|
|
* \param[in] rs Calculator of dissolved gas-oil ratio.
|
|
* \param[in] rv Calculator of vapourised oil-gas ratio.
|
|
* \param[in] pu Summary of current active phases.
|
|
*/
|
|
EquilReg(const EquilRecord& rec,
|
|
const DensCalc& density,
|
|
std::shared_ptr<Miscibility::RsFunction> rs,
|
|
std::shared_ptr<Miscibility::RsFunction> rv,
|
|
const PhaseUsage& pu)
|
|
: rec_ (rec)
|
|
, density_(density)
|
|
, rs_ (rs)
|
|
, rv_ (rv)
|
|
, pu_ (pu)
|
|
{
|
|
}
|
|
|
|
/**
|
|
* Type of density calculator.
|
|
*/
|
|
typedef DensCalc CalcDensity;
|
|
|
|
/**
|
|
* Type of dissolved gas-oil ratio calculator.
|
|
*/
|
|
typedef Miscibility::RsFunction CalcDissolution;
|
|
|
|
/**
|
|
* Type of vapourised oil-gas ratio calculator.
|
|
*/
|
|
typedef Miscibility::RsFunction CalcEvaporation;
|
|
|
|
/**
|
|
* Datum depth in current region
|
|
*/
|
|
double datum() const { return this->rec_.main.depth; }
|
|
|
|
/**
|
|
* Pressure at datum depth in current region.
|
|
*/
|
|
double pressure() const { return this->rec_.main.press; }
|
|
|
|
/**
|
|
* Depth of water-oil contact.
|
|
*/
|
|
double zwoc() const { return this->rec_.woc .depth; }
|
|
|
|
/**
|
|
* water-oil capillary pressure at water-oil contact.
|
|
*
|
|
* \return P_o - P_w at WOC.
|
|
*/
|
|
double pcow_woc() const { return this->rec_.woc .press; }
|
|
|
|
/**
|
|
* Depth of gas-oil contact.
|
|
*/
|
|
double zgoc() const { return this->rec_.goc .depth; }
|
|
|
|
/**
|
|
* Gas-oil capillary pressure at gas-oil contact.
|
|
*
|
|
* \return P_g - P_o at GOC.
|
|
*/
|
|
double pcgo_goc() const { return this->rec_.goc .press; }
|
|
|
|
/**
|
|
* Retrieve phase density calculator of current region.
|
|
*/
|
|
const CalcDensity&
|
|
densityCalculator() const { return this->density_; }
|
|
|
|
/**
|
|
* Retrieve dissolved gas-oil ratio calculator of current
|
|
* region.
|
|
*/
|
|
const CalcDissolution&
|
|
dissolutionCalculator() const { return *this->rs_; }
|
|
|
|
/**
|
|
* Retrieve vapourised oil-gas ratio calculator of current
|
|
* region.
|
|
*/
|
|
const CalcEvaporation&
|
|
evaporationCalculator() const { return *this->rv_; }
|
|
|
|
/**
|
|
* Retrieve active fluid phase summary.
|
|
*/
|
|
const PhaseUsage&
|
|
phaseUsage() const { return this->pu_; }
|
|
|
|
private:
|
|
EquilRecord rec_; /**< Equilibration data */
|
|
DensCalc density_; /**< Density calculator */
|
|
std::shared_ptr<Miscibility::RsFunction> rs_; /**< RS calculator */
|
|
std::shared_ptr<Miscibility::RsFunction> rv_; /**< RV calculator */
|
|
PhaseUsage pu_; /**< Active phase summary */
|
|
};
|
|
|
|
|
|
|
|
/// Functor for inverting capillary pressure function.
|
|
/// Function represented is
|
|
/// f(s) = pc(s) - target_pc
|
|
struct PcEq
|
|
{
|
|
PcEq(const BlackoilPropertiesInterface& props,
|
|
const int phase,
|
|
const int cell,
|
|
const double target_pc)
|
|
: props_(props),
|
|
phase_(phase),
|
|
cell_(cell),
|
|
target_pc_(target_pc)
|
|
{
|
|
std::fill(s_, s_ + BlackoilPhases::MaxNumPhases, 0.0);
|
|
std::fill(pc_, pc_ + BlackoilPhases::MaxNumPhases, 0.0);
|
|
}
|
|
double operator()(double s) const
|
|
{
|
|
s_[phase_] = s;
|
|
props_.capPress(1, s_, &cell_, pc_, 0);
|
|
return pc_[phase_] - target_pc_;
|
|
}
|
|
private:
|
|
const BlackoilPropertiesInterface& props_;
|
|
const int phase_;
|
|
const int cell_;
|
|
const int target_pc_;
|
|
mutable double s_[BlackoilPhases::MaxNumPhases];
|
|
mutable double pc_[BlackoilPhases::MaxNumPhases];
|
|
};
|
|
|
|
|
|
|
|
/// Compute saturation of some phase corresponding to a given
|
|
/// capillary pressure.
|
|
inline double satFromPc(const BlackoilPropertiesInterface& props,
|
|
const int phase,
|
|
const int cell,
|
|
const double target_pc,
|
|
const bool increasing = false)
|
|
{
|
|
// Find minimum and maximum saturations.
|
|
double sminarr[BlackoilPhases::MaxNumPhases];
|
|
double smaxarr[BlackoilPhases::MaxNumPhases];
|
|
props.satRange(1, &cell, sminarr, smaxarr);
|
|
const double s0 = increasing ? smaxarr[phase] : sminarr[phase];
|
|
const double s1 = increasing ? sminarr[phase] : smaxarr[phase];
|
|
|
|
// Create the equation f(s) = pc(s) - target_pc
|
|
const PcEq f(props, phase, cell, target_pc);
|
|
const double f0 = f(s0);
|
|
const double f1 = f(s1);
|
|
|
|
if (f0 <= 0.0) {
|
|
return s0;
|
|
} else if (f1 > 0.0) {
|
|
return s1;
|
|
} else {
|
|
const int max_iter = 30;
|
|
const double tol = 1e-6;
|
|
int iter_used = -1;
|
|
typedef RegulaFalsi<ThrowOnError> ScalarSolver;
|
|
const double sol = ScalarSolver::solve(f, std::min(s0, s1), std::max(s0, s1), max_iter, tol, iter_used);
|
|
return sol;
|
|
}
|
|
}
|
|
|
|
|
|
/// Functor for inverting a sum of capillary pressure functions.
|
|
/// Function represented is
|
|
/// f(s) = pc1(s) + pc2(1 - s) - target_pc
|
|
struct PcEqSum
|
|
{
|
|
PcEqSum(const BlackoilPropertiesInterface& props,
|
|
const int phase1,
|
|
const int phase2,
|
|
const int cell,
|
|
const double target_pc)
|
|
: props_(props),
|
|
phase1_(phase1),
|
|
phase2_(phase2),
|
|
cell_(cell),
|
|
target_pc_(target_pc)
|
|
{
|
|
std::fill(s_, s_ + BlackoilPhases::MaxNumPhases, 0.0);
|
|
std::fill(pc_, pc_ + BlackoilPhases::MaxNumPhases, 0.0);
|
|
}
|
|
double operator()(double s) const
|
|
{
|
|
s_[phase1_] = s;
|
|
s_[phase2_] = 1.0 - s;
|
|
props_.capPress(1, s_, &cell_, pc_, 0);
|
|
return pc_[phase1_] + pc_[phase2_] - target_pc_;
|
|
}
|
|
private:
|
|
const BlackoilPropertiesInterface& props_;
|
|
const int phase1_;
|
|
const int phase2_;
|
|
const int cell_;
|
|
const int target_pc_;
|
|
mutable double s_[BlackoilPhases::MaxNumPhases];
|
|
mutable double pc_[BlackoilPhases::MaxNumPhases];
|
|
};
|
|
|
|
|
|
|
|
|
|
/// Compute saturation of some phase corresponding to a given
|
|
/// capillary pressure, where the capillary pressure function
|
|
/// is given as a sum of two other functions.
|
|
inline double satFromSumOfPcs(const BlackoilPropertiesInterface& props,
|
|
const int phase1,
|
|
const int phase2,
|
|
const int cell,
|
|
const double target_pc)
|
|
{
|
|
// Find minimum and maximum saturations.
|
|
double sminarr[BlackoilPhases::MaxNumPhases];
|
|
double smaxarr[BlackoilPhases::MaxNumPhases];
|
|
props.satRange(1, &cell, sminarr, smaxarr);
|
|
const double smin = sminarr[phase1];
|
|
const double smax = smaxarr[phase1];
|
|
|
|
// Create the equation f(s) = pc1(s) + pc2(1-s) - target_pc
|
|
const PcEqSum f(props, phase1, phase2, cell, target_pc);
|
|
const double f0 = f(smin);
|
|
const double f1 = f(smax);
|
|
if (f0 <= 0.0) {
|
|
return smin;
|
|
} else if (f1 > 0.0) {
|
|
return smax;
|
|
} else {
|
|
const int max_iter = 30;
|
|
const double tol = 1e-6;
|
|
int iter_used = -1;
|
|
typedef RegulaFalsi<ThrowOnError> ScalarSolver;
|
|
const double sol = ScalarSolver::solve(f, smin, smax, max_iter, tol, iter_used);
|
|
return sol;
|
|
}
|
|
}
|
|
|
|
/// Compute saturation from depth. Used for constant capillary pressure function
|
|
inline double satFromDepth(const BlackoilPropertiesInterface& props,
|
|
const double cellDepth,
|
|
const double contactDepth,
|
|
const int phase,
|
|
const int cell,
|
|
const bool increasing = false)
|
|
{
|
|
// Find minimum and maximum saturations.
|
|
double sminarr[BlackoilPhases::MaxNumPhases];
|
|
double smaxarr[BlackoilPhases::MaxNumPhases];
|
|
props.satRange(1, &cell, sminarr, smaxarr);
|
|
const double s0 = increasing ? smaxarr[phase] : sminarr[phase];
|
|
const double s1 = increasing ? sminarr[phase] : smaxarr[phase];
|
|
|
|
if (cellDepth < contactDepth){
|
|
return s0;
|
|
} else {
|
|
return s1;
|
|
}
|
|
|
|
}
|
|
|
|
/// Return true if capillary pressure function is constant
|
|
bool isConstPc(const BlackoilPropertiesInterface& props,
|
|
const int phase,
|
|
const int cell)
|
|
{
|
|
// Find minimum and maximum saturations.
|
|
double sminarr[BlackoilPhases::MaxNumPhases];
|
|
double smaxarr[BlackoilPhases::MaxNumPhases];
|
|
props.satRange(1, &cell, sminarr, smaxarr);
|
|
|
|
// Create the equation f(s) = pc(s);
|
|
const PcEq f(props, phase, cell, 0);
|
|
const double f0 = f(sminarr[phase]);
|
|
const double f1 = f(smaxarr[phase]);
|
|
return std::abs(f0 - f1) < std::numeric_limits<double>::epsilon();
|
|
}
|
|
|
|
} // namespace Equil
|
|
} // namespace Opm
|
|
|
|
|
|
#endif // OPM_EQUILIBRATIONHELPERS_HEADER_INCLUDED
|